Vectors 5 with solution

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Vladimir Vingoradov

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Vladimir Vingoradov 4 years, 5 months ago

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Vladimir Vingoradov 7 years, 7 months ago

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Vladimir Vingoradov 7 years, 7 months ago

Created this as a copy of Vectors 5.

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Question statement

Two forces $P_1=\var{P1}\;\text{kN}$ and $P_2=\var{P2}\;\text{kN}$ are applied at Point B of beam AB.

Give any introductory information the student needs.

			Name	Type	Generated Value

P1	integer	7
P2	integer	10
R	number	11.17
a	integer	40
b	integer	60
phi	number	68.11
gamma	number	38.11
beta	number	61.89

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Data type

Value

A random number between and (inclusive) with step size

Description

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Generated value: `integer`

→ Used by:

P2
R
gamma

This variable doesn't seem to be used anywhere.

Advice

(a) Using the law of cosines:

$R^2=(\var{P1}\;\text{kN})^2+(\var{P2}\; \text{kN})^2-2(\var{P1}\;\text{kN})(\var{P2}\;\text{kN})\cos 80^\circ$

$R=\var{R}\;\text{kN}$ ◀

(b) Using the law of sines

$\dfrac{\sin \gamma}{\var{P1}\;\text{kN}}=\dfrac{\sin 80^\circ}{R}$

$\gamma=\var{gamma}^\circ$

In the triangle

$\beta+\gamma+80^\circ=180^\circ$

$\beta=\var{beta}^\circ$

$\phi=180^\circ-\beta-50^\circ=\var{phi}^\circ$

$\phi=\var{phi}^\circ$ ⦪ ◀

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This question is used in the following exams:

My vector exam by Chris Graham in Chris's workspace.
Homework 1 + Solutions by Vladimir Vingoradov in SFY0010.
NCM4 FE-F2022 UNIT 8 All by Terry Young in NCM4 FINAL EXAM Fall 2022.
All the good stuff by Chris Templet in Chris's workspace.

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Vladimir Vingoradov 4 years, 5 months ago

Vladimir Vingoradov 7 years, 7 months ago

Vladimir Vingoradov 7 years, 7 months ago

Error in variable testing condition

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Generated value: `integer`

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Vectors 5 with solution

Metadata

Taxonomy: mathcentre

Taxonomy: Kind of activity

Taxonomy: Context

Contributors

Feedback

History

Comment

Checkpoint description

Vladimir Vingoradov 4 years, 5 months ago

Vladimir Vingoradov 7 years, 7 months ago

Vladimir Vingoradov 7 years, 7 months ago

Error in variable testing condition

Error

Warning

Generated value: integer

Parts

Number entry

Advanced settings

Generated value: `integer`